I've seen tons and tons of pictures of spokeless bike wheels. But it's always been from industrial designers who haven't done much bike riding, have never wrenched a bike, and who have no idea about what's possible or practical. Sometimes they claim that it's somehow "freeing" to not worry about such things, but I tend to think that there's a fine line between genius and stupid.

Anyway, some engineering students actually made one. I suspect that it's not the sort of thing you'd be comfortable riding a 200km brevet in, but at least they built it in real life instead of in a design program.